How do you simplify $5 \frac{1}{2} + 2 \frac{7}{9}$ $5 1/2 + 2 7/9$ ?

Question

How do you simplify $5 \frac{1}{2} + 2 \frac{7}{9}$ $5 1/2 + 2 7/9$ ?

1 Answer

Impact of this question

1801 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-21T12:20:51

See a solution process below:

Explanation:

First, convert each number from a mixed number into an improper fraction:

$5 \frac{1}{2} = 5 + \frac{1}{2} = (\frac{2}{2} \times 5) + \frac{1}{2} = \frac{10}{2} + \frac{1}{2} = \frac{10 + 1}{2} = \frac{11}{2}$ $5 1/2 = 5 + 1/2 = (2/2 xx 5) + 1/2 = 10/2 + 1/2 = (10 + 1)/2 = 11/2$

$2 \frac{7}{9} = 2 + \frac{7}{9} = (\frac{9}{9} \times 2) + \frac{7}{9} = \frac{18}{9} + \frac{7}{9} = \frac{18 + 7}{9} = \frac{25}{9}$ $2 7/9 = 2 + 7/9 = (9/9 xx 2) + 7/9 = 18/9 + 7/9 = (18 + 7)/9 = 25/9$

To add fractions they must be over a common denominator:

$\frac{11}{2} = \frac{11}{2} \times \frac{9}{9} = \frac{11 \times 9}{2 \times 9} = \frac{99}{18}$ $11/2 = 11/2 xx 9/9 = (11 xx 9)/(2 xx 9) = 99/18$

$\frac{25}{9} = \frac{25}{9} \times \frac{2}{2} = \frac{25 \times 2}{9 \times 2} = \frac{50}{18}$ $25/9 = 25/9 xx 2/2 = (25 xx 2)/(9 xx 2) = 50/18$

We can now rewrite and add the numerators over the common denominator as:

$\frac{99}{18} + \frac{50}{18} = \frac{99 + 50}{18} = \frac{149}{18}$ $99/18 + 50/18 = (99 + 50)/18 = 149/18$

If necessary, we can covert this to a mixed number as:

$\frac{149}{18} = \frac{144 + 5}{18} = \frac{144}{18} + \frac{5}{18} = 8 + \frac{5}{18} = 8 \frac{5}{18}$ $149/18 = (144 + 5)/18 = 144/18 + 5/18 = 8 + 5/18 = 8 5/18$

Science

Math

Humanities

... and beyond

How do you simplify $5 \frac{1}{2} + 2 \frac{7}{9}$ $5 1/2 + 2 7/9$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 5 1/2 + 2 7/9512+2795 1/2 + 2 7/9?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $5 \frac{1}{2} + 2 \frac{7}{9}$ $5 1/2 + 2 7/9$ ?